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Finding the Third Proportional to 146,106 and 197,991

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Solution

The third proportional to 146,106 and 197,991 is: 268,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,106 : 197,991 = 197,991 : x
  2. Step 2: Convert to fraction form
    146,106/197,991 = 197,991/x
  3. Step 3: Cross multiply
    146,106x = 197,991 × 197,991
  4. Step 4: Simplify right side
    146,106x = 39,200,436,081
  5. Step 5: Solve for x
    x = 39,200,436,081/146,106
  6. Step 6: Final answer
    x = 268,301.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.